Please use this identifier to cite or link to this item:
Publication type: Article in scientific journal
Type of review: Peer review (publication)
Title: Multi-resonator metamaterials as multi-band metastructures
Authors: Gorshkov, Vyacheslav
Sareh, Pooya
Navadeh, Navid
Tereshchuk, Vladimir
Soleiman Fallah, Arash
et. al: No
DOI: 10.1016/j.matdes.2021.109522
Published in: Materials & Design
Volume(Issue): 202
Issue: 109522
Issue Date: 27-Jan-2021
Publisher / Ed. Institution: Elsevier
ISSN: 0264-1275
Language: English
Subjects: Multi-resonator; Phononic metamaterial; Acoustic mode; Optic mode; Bandgap; Dispersion surface
Subject (DDC): 530: Physics
Abstract: Introducing multi-resonator microstructure into phononic metamaterials provides more flexibility in bandgap manipulation. In this work, 3D-acoustic metamaterials of the body- and face-centered cubic lattice systems encompassing nodal isotropic multivibrators are investigated. Our main results are: (1) the number of bandgaps equals the number, n, of internal masses as each bandgap is a result of the classical analog of the quantum level-repulsion mechanism between internal and external oscillations, and (2) the upper boundary frequencies, ωupper2i, i = 1, 2, ⋯, n, of the gaps formed coincide with eigen-frequencies, ωint;i2 ≠ 0, of the isolated multivibrator, ωupper2;i = ωint; i2, and the lower boundary frequencies, ωlower2,i2, are in good agreement with estimations as (), where represent the eigen-frequencies of the multivibrator when its external shell is motionless. The morphologies of the set of dispersion surfaces, ωm2(k), m = 1, 2, …, 6, in the corresponding passbands are similar to each other and to that of the set of dispersion surfaces, ωext; m2(k), obtained through the exclusion of internal masses. Thus, the problem of analyzing the acoustic properties of the complicated system is reduced to the study of two simple sets {ωint; i2} and , along with {ωext; m2(k)}, the morphology of which depends only on the type of lattice symmetry. This splitting renders controlled phononic bandgaps formation in homogeneous multi-resonator metamaterials feasible.
Fulltext version: Published version
License (according to publishing contract): CC BY 4.0: Attribution 4.0 International
Departement: School of Engineering
Organisational Unit: Institute of Computational Physics (ICP)
Appears in collections:Publikationen School of Engineering

Files in This Item:
File Description SizeFormat 
2021_Gorshkov-etal_Multi-resonator-metamaterials-metastructures.pdf4.65 MBAdobe PDFThumbnail
Show full item record
Gorshkov, V., Sareh, P., Navadeh, N., Tereshchuk, V., & Soleiman Fallah, A. (2021). Multi-resonator metamaterials as multi-band metastructures. Materials & Design, 202(109522).
Gorshkov, V. et al. (2021) ‘Multi-resonator metamaterials as multi-band metastructures’, Materials & Design, 202(109522). Available at:
V. Gorshkov, P. Sareh, N. Navadeh, V. Tereshchuk, and A. Soleiman Fallah, “Multi-resonator metamaterials as multi-band metastructures,” Materials & Design, vol. 202, no. 109522, Jan. 2021, doi: 10.1016/j.matdes.2021.109522.
GORSHKOV, Vyacheslav, Pooya SAREH, Navid NAVADEH, Vladimir TERESHCHUK und Arash SOLEIMAN FALLAH, 2021. Multi-resonator metamaterials as multi-band metastructures. Materials & Design. 27 Januar 2021. Bd. 202, Nr. 109522. DOI 10.1016/j.matdes.2021.109522
Gorshkov, Vyacheslav, Pooya Sareh, Navid Navadeh, Vladimir Tereshchuk, and Arash Soleiman Fallah. 2021. “Multi-Resonator Metamaterials as Multi-Band Metastructures.” Materials & Design 202 (109522).
Gorshkov, Vyacheslav, et al. “Multi-Resonator Metamaterials as Multi-Band Metastructures.” Materials & Design, vol. 202, no. 109522, Jan. 2021,

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.